with \(C_{LHY}=64/(15\sqrt{\pi })\,g_B\, a_B^{3/2}\) . \(g_B\)  and \(g_{BF}\)  appearing in the above energy expressions are coupling constants for contact interactions between atoms [1]}, with \(g_B = 4\pi \hbar ^2 a_B/m_B\)  and \(g_{BF} = 2\pi \hbar ^2 a_{BF}/\mu \) , where \(a_B\)  (\(a_{BF}\) ) is the scattering length corresponding to the boson-boson (boson-fermion) interaction and \(\mu =m_B\, m_F/(m_B+m_F)\)  is the reduced mass.
